Examination 4

                  Tribhuvan University Institute of Engineering Entrance Examination Board 

                                        BE/B.Arch. Online Entrance Examination

                      IOE FREE EXAM   [30 questions]  

                                          Time: 45min 

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1. The large aperture of telescope are used for
   1.   Greater magnification
   2.   Greater resolution
   3.   Reducing lens aberration
   4.   Case of manufacture
2. A particle on the trough of a wave at any instant will come to the mean position after a time.(T= time period)
   1.   T
   2.   T/2
   3.   2T
   4.   T/4
3. In which of the following instruments is final image erect?
   1.   Compound microscope
   2.   Simple microscope
   3.   Astronomical telescope
   4.   None
4. Triple point of water is
   1.   273.16∘F
   2.   273.16∘C
   3.   273.16K
   4.   273.16R
5. An X-Ray tube operates at a potential of 100 kV and 10 mA tube current. If only 1% of the electrical power is converted into X-Rays, the rate at which the target is heated is:
   1.   990W
   2.   99W
   3.   100W
   4.   1000W
6. An unknown frequency source X, produces 8 beats with another source of frequency 270 Hz. The frequency of source X will be ?
   1.   258 Hz
   2.   242 Hz
   3.   282 Hz
   4.   262 Hz
7. If an object is placed 10 cm infront of a concave mirror of focal length 20 cm, the image will be
   1.   Diminished, upright, virtual
   2.   Enlarged, upright, virtual
   3.   Diminished, inverted, real
   4.   Enlarged, upright, real
8. The potential energy of a body is given by U=A−Bx² (where x is the displacement). The magnitude of force acting on the particle is
   
   1.   Constant
   2.   Proportional to x2
   3.   Proportional to x
   4.   Inversely proportional to x
9. 10g of ice at 0∘C is mixed with 100g of water at 50∘C . What is the resultant temperature of mixture ?
   1.   31.2∘C
   2.   38.2∘C
   3.   32.8∘C
   4.   36.7∘C
10. Find the derivative of e^xsinx
    
    
    1.   e^xsinx *(x cosx−sinx)
    2.   e^xsinx *(−xcosx+sinx)
    3.   e^xsinx *(xcosx+sinx)
    4.   e^xsinx *xcosx
11. A point (x, y, z) moves parallel to xz-plane. Which of the three variable x, y, z remain fixed
    1.   y
    2.   y and z
    3.   x and y
    4.   z and x
12. A ball is allowed to fall from a height of 10 m. If there is 40% loss of energy due to impact, then after one impact ball will go upto:
    
    1.   4 m
    2.   8 m
    3.   6 m
    4.   10 m
13. Vertex of the parabola 9x²−6x+36y+9=0 is
    1.   (1/3,−2/9)
    2.   (−1/3,−1/2)
    3.   (−1/3,1/2)
    4.   (1/3,1/2)
14. The sum of an infinite number of terms of a G.P. is 20, and the sum of their squares is 100, then the first term of the G.P. is
    1.   5
    2.   3/5
    3.   8/5
    4.   8
15. Number of non-empty subsets of set A={1,2,3,4}
    
    1.   17
    2.   15
    3.   18
    4.   16
16. If x=3+i then x³−3x²−8x+15=
    
    1.   6
    2.   -18
    3.   -15
    4.   10
17. The minimum number of linearly independent vectors to give zero resultant is:
    
    1.   4
    2.   3
    3.   2
    4.   can't be determined
18. The angle between a line with direction ratios 2,2,1 and a line joining (3,1,4) to (7,2,12) is:
    1.   cos−¹(2/3)
    2.   cos−¹⁡(−2/3)
    3.   tan−¹(2/3)
    4.   none of these
19. ㏒ₐx is defined for (a>0)
    All real x
    All negative real x≠1
    All positive real x≠0
    a≥e
    loga X is defined for (a>0)
    
    
    1.   All real x
    2.   All negative real x≠1
    3.   All positive real x≠0
    4.   a≥e
20. If HM between two numbers is 2 and the GM is 4, then the AM between them is:
    
    1.   4
    2.   8
    3.   2
    4.   9/5
21. Of the following sulphides which one is insoluble in dilute acids but soluble in alkalies
    1.   PbS
    2.   Sb₂S₃
    3.   CdS
    4.   FeS
22. Sulphuric acid reacts with PCl₅ to give:
    
    1.   Sulphur monochloride
    2.   Thionyl chloride
    3.   Sulphur ultrachloride
    4.   Sulphuryl chloride
23. The largest number of molecules present in :
    
    1.   54 g of nitrogen pentoxide
    2.   36 g of water
    3.   46 g of ethyl alcohol
    4.   28 g of carbon monoxide
24. The indicator used in the titration of a strong acid and a strong base is/are :
    1.   phenolphthalein
    2.   alizarin yellow
    3.   red litmus
    4.   Starch paper
25. Find the electric charge in couloumb of 9.0gm of Al³+ ions.
    
    1.   32166.3 C
    2.   96500 C
    3.   9650 C
    4.   3216.33 C
26. The O.N. of 'Fe' in Na₂[Fe(CN)₅NO] is
    
    1.   +3
    2.   +2
    3.   0
    4.   +1
27. In the cell Zn|Zn²+||Cu²+|Cu, the positive electrode is
    1.   Cu
    2.   Cu²+
    3.   Zn
    4.   Zn²+
28. Laughing gas is prepared by heating
    1.   (NH₄)₂SO4
    2.   NH₄Cl
    3.   NH₄Cl+NaNO₂
    4.   NH₄NO₃
29. The I.U.P.A.C. names of Neopentane
    1.   2-methyl Butane
    2.   2-methyl propane
    3.   2,2-dimethyl propane
    4.   2,2-dimethyl Butane
30. What would be the solubility of silver chloride in 0.10M NaCI solution?
    Ksp for silver chloride=1.20×10−¹⁰
    1.   0.2×10−⁶M
    2.   1.2×10−⁹M
    3.   6×10−¹⁰M
    4.   0.2×10−¹⁰M